A student wrote the equation 4(x+5.5)=3(1.5x+4.75) to represent the problem shown. Find her mistake and correct it. Petra and her 4 friends went to the movies. They each bought a ticket for x dollars and spent $5.50 each on snacks. Valentina and her 3 friends went to the movies and paid 1.5 times as much for each of their tickets as Petra. Everyone in Valentina’s group also spent $4.75 each on snacks. If both groups spent the same amount, what is the cost of a ticket for Petra’s group?

Step-by-step explanation:

The first group consists of Petra and 4 friends, so the total number of members is 5, therefore the left side of equation should be:

The second group consists of 4 people, Valentina and 3 friends, therefore the right side of the equation should be:

Solving the equation to find the cost of a ticket for Petra's group:

Cost of a ticket is $8.5

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

c > -10.55

step-by-step explanation: